Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110l |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
911899281384000 = 26 · 32 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2522202,1540712916] |
[a1,a2,a3,a4,a6] |
Generators |
[867:2139:1] |
Generators of the group modulo torsion |
j |
15082569606665230489/7751016000 |
j-invariant |
L |
3.5311623715856 |
L(r)(E,1)/r! |
Ω |
0.40781651684274 |
Real period |
R |
0.72155863927145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ee3 95550ke3 2730o3 |
Quadratic twists by: -3 5 -7 |